Research Article: The Importance of Visual Mathematics for our Brain and Learning by Jo Boaler

This research paper caught my attention when I read a couple of the first paragraphs..."a common belief in education (is) that visual mathematics is for lower level work, and for struggling or younger students, and that students should only work visually as a prelude to more advanced or abstract mathematics. As Thomas West, author, states, there is a centuries-old belief that words and mathematical symbols are “for serious professionals – whereas pictures and diagrams” are “for the lay public and children” (2004).  This idea is an example of a damaging myth in education, and this paper will present compelling brain evidence to help dispel the myth". (Boaler, J., Chen, L., Williams, C., & Cordero, M. (2016). Seeing as Understanding: The Importance of Visual Mathematics for our Brain and Learning. Journal of Applied & Computational Mathematics 5)

The study highlights the brain's capacity to process mathematical concepts through visual pathways. From number lines to manipulatives, visual representations play a pivotal role in making abstract ideas concrete and understandable. Integrating these tools in the classroom enhances engagement and achievement across year levels.

The paper advocates for embracing visual mathematics as a means of transforming students' mathematical experiences. By providing hands-on experiences and visual aids, educators can empower learners to develop a deeper understanding and appreciation for math.

I believe (and was thrilled to find a confirmation of my beliefs in the latest neurobiological studies) that using hands-on objects and visual aids is incredibly important for learning math. These tools help make abstract concepts more concrete and easier to understand. When you can touch and see things, it's easier for your brain to remember and solve problems. Studies have shown that using these tools can make students better at maths and help them do well in school. Plus, they work well for all types and ages of learners. 

"A compelling and rather surprising example of the visual nature of mathematical activity in the brain comes from a new study on the ways that the brain uses representations of fingers, well beyond the time and age that people use their fingers to count. The different studies on the brain’s use of finger representations give fascinating insights into human learning and clear implications for mathematics classrooms."

I hope to see more manipulatives and visuals in our classrooms across all the year levels to enhance learning experiences, engage students and foster a deeper understanding of mathematical concepts. When we can touch and see things, maths becomes clearer and more exciting.

Food for Thought or Just One PAT Question Analysed

After publishing my post about PATs areas that we test on without teaching, I recalled and decided to share a story about my last year Y4 student who scored Stanine 9 in PAT but struggled with one particular question - "Visualise which shape a net will fold to make." 

At that time, I was placing an order to buy more maths resources for our school including a set of 3D folding shapes, which we used with our Year 3-4 classes. I wanted to provide our students with a hands-on way to explore and visualize 3D shapes and their nets. Little did I know that this tool would have a significant impact on their learning, even a year after using it. Surely, you can fold 3D shapes using paper, but we had an opportunity to purchase this maths equipment and students loved it!

Out of curiosity, I looked at random Y4 and Y5 classes to find out their answers to this particular PAT question for the past 3 years.

2020 - Term 4

2021 - Term 4

2022 - Term 1

2022 - Term 4 -  our Team excelled in the PAT "visualise a shape" question that had previously stumped many of Year 4 and 5 students.

2023 Term 1 (after the summer break, mostly the same students with some new intakes)

"Visualize which shape a net will fold to make." This question could be challenging for some students because of a specific skill we often do not cover in our maths programme. 

As seen from the examples above, after using the folding shapes in our team, students were able to visualize the 3D shapes and their nets with ease. They were able to apply their knowledge to the PAT assessment and, in Term 4 2022 for the first time in three years, most of Team Kea's students answered the question correctly. Furthermore, the majority of learners retained their knowledge after a summer break (this is not clean data as we have a number of new students from other schools and teams).

This set of data highlights the importance of analyzing assessment data to identify areas where our students need explicit teaching or additional support. 

Tools, Measures & Approaches

Describe the tools/measures/approaches you plan to use to get a more detailed and accurate profile of students’ learning in relation to that challenge. Justify why you chose these approaches and tools.

Recently, I had the opportunity to analyze PAT assessments from our school and discovered some concerning learning gaps among our students. Many students struggled with questions that were not covered in our classroom maths programmes or were only briefly covered (based on my personal, team and other teachers' reflections)

If students have never been exposed to specific maths concepts or skills, expecting them to answer questions on those topics is not fair. In fact, testing students on material they have not been taught is not only unfair, but it is also not an accurate reflection of their true understanding of the maths curriculum.

The PAT exams are designed to assess a student's understanding of the broader maths curriculum, but this does not mean that students should be expected to answer questions on topics not taught in class. 

I used the 'individual items' report for all our classes and identified similarities in topics that most students struggled with: Statistics, Geometry, Measurements, Fractions and Algebra. Some examples are below:

                                                                    Year 5:                                                                          

Year 8:

Year 4:

On the other hand, I also analysed which areas of Maths we delivered effectively. This is just a great illustration of "what we taught - our students learnt!" We just need to review our maths programme and include the areas that we neglected before.

                                                                     Year 4:                                                                            

Year 5

A hypothesis I developed was that our current maths programme was not adequately covering all the topics included in the PAT assessments. To create a rich picture with a high degree of reliability and specificity, I plan to create an e-asttle test including all the areas tested in PATs. Gloss data also will be used to support Number knowledge and strategies results. 

Along with these 3 tests, I will collect student voice. I already interviewed a few students after their PATs and discovered that many of them experienced frustration due to their lack of knowledge on certain topics. Formative assessment is ongoing.

At the same time, we need to ensure that we're not simply teaching to the test. Our goal should be to provide our students with a well-rounded understanding of the subject. This means incorporating a variety of teaching strategies, including hands-on activities, real-world applications and opportunities for critical thinking and problem-solving. Teaching Measurements, Geometry and Statistics can be part of the integrated curriculum - our LCS pedagogy. 

I shared my findings with my school's teachers and senior team. My purpose was to highlight the importance of using assessment data for planning. 

I will continue with my inquiry about helping teachers understand the value of using assessment data effectively to create a culture of data-driven instruction in my school and hopefully the wider Manaiakalani Kāhui Ako.  I truly believe that this can lead to improved student outcomes and a more effective and meaningful learning experience for both teachers and students.

My 2023 TAI - focus on Mathematics!

Thinking of my 2023 inquiry focus. I observed my team’s new Y3 students and discovered that about 90% of this cohort is working below and well below their expected levels in mathematics. Their PATs confirmed the data I collected during formative assessments. I believe that this is a result of previous years of disrupted learning.  The current Y3 students missed out on timely development of very crucial fundamental skills and knowledge as young students were very hard to reach and keep engaged during lockdowns and hybrid learning. When they returned to school, the main focus was on developing positive attitudes towards school and love of learning. 

PAT Y3 2023 Term 1 data

Fluency Without Fear: Research Evidence on the Best Ways to Learn Math Facts By Jo Boaler

Fluency Without Fear: Research Evidence on the Best Ways to Learn Math Facts by Jo Boaler (2015)

Found a few years ago during my ALiM work, I keep referring back to this article and  https://www.youcubed.org/ website. This work is about developing number sense instead of memorization of facts, it unpacks the idea of learning math facts along with a deep understanding of numbers and the ways they relate to each other.

In a critical research project, researchers studied students as they solved number problems (Gray & Tall, 1994). The researchers concluded that low achievers are often low achievers not because they know less but because they don’t use numbers flexibly – they have been set on the wrong path, often from an early age, of trying to memorize methods instead of interacting with numbers flexibly (Boaler, 2009). 

Based on my experience, some teachers want their students to drill in basic facts and times tables as this is 'a good old school that worked well in the past'. Saying that we don't really have any research data to support this statement. I remember a lot of my classmates who hated maths because they didn't understand it or had to sit timed tests. I was one of them and I didn't enjoy that 'good old school' approach. 

I believe that the current decline in student achievement in maths is caused by a lack of maintenance or an unbalanced or inconsistent maths programme. 

• Do we all have a solid maths block every day four or five times a week? 
• Do our students practise and apply the knowledge and concepts taught in class or just do some busy work during their independent activities? 
• How can they develop fluency without mileage and purposefully created and provided opportunities? 

According to the NZC,  'number' should be the focus of 60–80 percent of mathematics teaching time during the first four years at school and 50-70 percent afterwards. 

Here comes a common misunderstanding or misconception. The curriculum requires a lot of time teaching 'number', but modern research talks about reasoning. The answer is simple. The 'old school' is about memorizing facts while the modern school is about developing fluency through making sense and connections, and talking about reasons for the use of different methods. Students need to learn to calculate through number sense, as well as spend time on problem-solving and reasoning. 

One of the great methods for teaching number sense and math facts at the same time is a teaching strategy called ‘number talks’ that many of us have been implementing already. Research tells us that the best mathematics classrooms are those in which students learn number facts and number sense through engaging activities that focus on mathematical understanding rather than rote memorization. (Jo Boaler)

At the end of her article, Jo compiled some great and engaging activities that can be used in any classroom to support your tamariki number sense development. 

Learning about Collaboration from Literature

My hypothesis is that a collaborative approach during group and independent learning activities might increase student engagement and develop a better understanding of topics or concepts and their practical application. 

Research shows that collaborative group work involves students working jointly on the same problem at all times. Within a collaborative group, decisions are shared and the negotiation of roles and relationships constantly evolves. Such a collaborative approach to learning is linked to Vygotskian ideas such as situated cognition, scaffolding, and the zone of proximal development  (Forman & Cazden, 1985).

Interestingly enough, I found proof of my own observations 'that part of the reason students give up on learning is because they find it difficult and think they are alone in their struggle. An important change takes place when students work together and discover that everybody finds some or all of the work difficult. This is a critical moment for students, and one that helps them know that for everyone learning is a process and that obstacles are common.' (LIMITLESS MIND by Jo Boaler)

Jo says that collaboration is vital for learning, brain development, and creating equitable outcomes. I agree with her; however, first of all, it is important to establish interpersonal connections. I noticed that some of my learners are happy working together and they achieve better results than a group that keeps arguing without listening to each other's ideas. Hence, teachers need to spend more time creating positive norms for collaborative groups.

Emily R. Lai (June 2011) in her Pearson Research report states that "Collaborative interactions are characterized by shared goals, symmetry of structure, and a high degree of negotiation, interactivity, and interdependence. Interactions producing elaborated explanations are particularly valuable for improving student learning. Nonresponsive feedback, on the other hand, can be detrimental to student learning in collaborative situations. Collaboration can have powerful effects on student learning, particularly for low-achieving students. However, a number of factors may moderate the impact of collaboration on student learning, including student characteristics, group composition, and task characteristics."

This resonates with me and my own experiences and shows that student collaboration requires a lot of teacher thinking and designing in creating tasks, forming groups and again, setting up class positive norms. Teachers need to carefully consider group composition in terms of gender and ability when using collaborative learning. Simple tasks with one correct solution that can easily be solved by a single, competent group member should not be used in collaborative settings. Even if not all young students will be able to collaborate effectively in their early school years, they will definitely start to develop such important habits required in older classes and in life in general. 

Another important idea I confirmed during my professional reading is that collaboration is not the only powerful approach to learning and/or working together. There are some times when individual and co-operative learning should take place to develop sound knowledge and skills to be able to work collaboratively and achieve better outcomes. 

For example, Nilofer Merchant in her article Eight Dangers of Collaboration (Dec 2011) reveals eight dangers of collaboration. She describes situations when people want to be individually recognised because they are great professionals or situations when collaboration slows down the process and creates conflicts instead of benefiting participants and organisations. Once again, in my opinion, we have to learn to choose the most suitable approach when it comes to a specific situation or task. This relates to students and even more to teachers. 

Repeated measures - Beginning and Mid-year Data #12

My focus was on unpacking and front-loading math vocab and the use of material/ visuals to improve my students’ mathematical thinking and deeper understanding of effective strategies.

We've been working on implementing and improving our class mathematical conversations and understanding of basic mathematical terminology.  Number talk and choral counting have been powerful practical tools that supported my students' mathematical reasoning along with the importance of being able to listen to others, understand the language and vocabulary, and be able to participate in a meaningful conversation about math. 

My second focus was the importance of using materials to support children’s mathematical thinking, reasoning and problem-solving. I tried to carefully select appropriate tools and representations to provide support and develop their number fluency and a deeper understanding of strategies.

The following group of students had historical data falling behind their expected levels and performing at well-below levels. With the focus on mathematical discourse and using manipulatives, they have shown great progress during this short period!

The repeated measures: GLOSS/ JAM/ Basic facts and class observations.

Literature Review: Quality Teaching for Diverse Students - #8

I've been looking for a good read about quality teaching and the best evidence-based and proven practices in New Zealand and came across the following report:

Quality Teaching for Diverse Students in Schooling: Best Evidence Synthesis 

by Adrienne Alton-Lee (2003)

(‘This report is one of a series of best evidence syntheses commissioned by the Ministry of Education. It is part of a commitment to strengthen the evidence base that informs education policy and practice in New Zealand. It aims to contribute to an ongoing evidence-based discourse amongst policymakers, educators and researchers.’)

It was an interesting read as it confirmed my thinking in a way that ‘quality teaching can optimise outcomes for diverse learners across the curriculum, and throughout Schooling.’ 

The research identified some practical areas of how to improve the quality of teaching that can be summarised and aligned with the High-Leverage Practices that Manaiakalani schools have been focusing on.

I decided to benchmark my teaching practice against some of the research-based characteristics of quality teaching to reflect on and identify areas for improvement.

Quality teaching promotes learning orientations and student self-regulation

- I use student voice to allow my student to take ownership of their learning and create student-driven content.

Teaching promotes metacognitive strategy use (e.g. mental strategies in numeracy) by all students.

- I use Number talk, choral counting and problem-solving in maths that require a lot of thinking, and Integrated learning that allows my students to apply their new knowledge in real-life situations.

Teaching scaffolds reciprocal or alternating tuakana teina roles in student groups, or interactive work.

- I use mixed ability groups and drama to provide opportunities for tuakana teina learning.

Teaching promotes sustained thoughtfulness (e.g. through questioning approaches, wait-time, and the provision of opportunities for application and invention).

- I use Talk Moves across the curriculum.

Teaching promotes critical thinking.

- My programme includes a lot of questioning, information analysis, compare and contrast tasks, and Learn-Create-Share projects.

Teaching makes transparent to students the links between strategic effort and accomplishment. - Just a recent example. My students worked on a play. I recorded their first attempt, then we watched it and discussed how we could improve their performance. The students came up with great ideas and continued to work on their play. Finally, we recorded it again and evaluated it. My students were very proud of their effort and the result.

It was a good exercise as this will help me continue to refine my own practice and support my team in their teaching journey.

How to Raise Student Achievement? Q+A episode

I really enjoyed watching last Sunday’s Q + A, from TVNZ on Demand, https://www.tvnz.co.nz/shows/q-and-a/episodes/s2021-e11  as earlier this year I posed the same question for my own inquiry. Although I focus on developing critical thinking and cognitive engagement across the curriculum, my biggest focus this year is on Maths.

It was very interesting to listen to different points of view and confirm my own understanding of current problems in maths teaching in NZ. I think I am lucky enough because I have insight into different international educational systems as I came from the European part of Russia, and I'm also familiar with other European educational systems.

I truly believe that some NZ teachers don't have enough content knowledge in maths. Some of my colleagues don't feel comfortable teaching maths as they are not 'fluent' in it.  Some classes don't have a structured programme because teachers don't really understand maths progressions and pedagogy. I observed lessons when students were asked to solve equations and they struggled to do so simply because the numbers were abstract to them, those students had to use material instead. 

I agree with Prof Bobby Hunter who emphasised the importance of a balanced programme (direct instructions, practice and problem-solving (=create part). A few years ago, we went through a maths PLD that promoted problem-solving. It was very confusing as the kids had to solve problems using various strategies and we were supposed to discuss those strategies in a group. The explicit teaching and scaffolding were missing and I questioned that. However, that PLD introduced the Talk Moves that I implement in all subject areas.

Since that moment, I reflected on my previous international and NZ teaching and learning experiences, and decided to take the best parts that proved to be working well across all the subject areas: 

• direct teaching of new concepts, 
• practice - application of new learning
• use of materials, hands-on
• learning conversations (strategies, creativity in maths)
• problem-solving 
• acceleration vs filling gaps
• integrated learning - purpose!!!

My hypothesis is that designing a well-balanced purposeful classroom programme based on the above High-Leveraged practices will help develop my students' critical thinking and cognitive engagement and improve their outcomes in maths and other learning areas.

Monitoring the Effects of My Intervention on Learner Outcomes

Identify informal and formal ways you are monitoring the effects of your changed practices/intervention on learner outcomes. Explain the reflections and tweaks you are making along the way.

My Inquiry: How can I change my practice to raise student achievement in literacy by promoting deep learning that requires students to develop cognitive engagement and critical thinking across the curriculum using Learn-Create-Share?

My interventions:

• Putting my students at the very centre of their learning and making their learning experiences authentic by designing LCS projects based on their interests and taking into account their identities.
• Scaffolding my learners during their projects by implementing and consistently using the tasks designed to improve their vocabulary, reading comprehension and writing skills.
• Utilizing drama to develop cognitive engagement and critical thinking and raise students achievement in reading and writing.

Monitoring the Effect:

• Student voice (evidence of their hight engagement and positive attitude towards learning -  collected through their blog posts, in-class & online conversations and sticky post-it notes in Term 3. In Term 4 the students will be asked to complete the same google form they did in Term 1 to compare the results/ changes)

• Photos, Videos, their Reading and Writing examples, online and in-class observations - evidence of my students' learning and progress (formative assessments):
• numerous LCS projects
• blogging and commenting, peer and teacher feedback
• maths word problems - incorporating Reading and Writing to gain a deeper understanding and new vocab
• Teaching of making inferences in a fun and engaging way: inferring from a picture, riddles and other activities - genuine interest, high motivation, critical thinking, etc 
• Introducing new vocab through topics of their interest and creating situations where they have opportunities to use their new vocab (Kahoot quizzes - students created, Film making, scriptwriting experiences,  use of S.Cameron and L.Dempsey activities)
• Drama (lots of reading and writing, problem-solving and KC) - Films for the Manaiakalani FF 2020 will be available on our class blog in T4.

• End of Term 3 data: Running Records and writing samples. All of my Year 3 target students moved up their reading and writing levels despite two lockdowns. All of them are now working at the expected after 3 years at school levels. I look forward to continuing with my inquiry next term and seeing my students' successes.

The Importance of Teacher and Peer Feedback during Remote Learning

I believe that we all know that giving feedback to students can be the bulk of the workload. Is the payoff worth the immense effort and time? In Visible Learning, John Hattie noted that feedback is “one of the most powerful influences on learning and achievement”, so if you’d like to increase student achievement in your classroom, feedback can be the key to making it happen.

Blog commenting is a great and powerful teaching and learning tool which cannot be disregarded. Reflecting on my own experience,  I believe that online feedback helped promote good communication and build stronger positive relationships within our Room 5's classroom community.  Blogging and commenting provides authentic experiences to purposefully utilize students' reading and writing skills. I always encourage my learners to check out their peers' blogs, give, receive and respond to feedback. 

My 2020 lockdown experiences proved that promoting peer blog commenting helps connect students with their friends, teachers and wider communities. Moreover, according to research, through exposure to a multitude of opinions and through awareness of writing for a wider audience, blogs also foster cognitive engagement and critical thinking because learners need to reflect on the possible reactions of others to their postings.

Examples of my Y2-3 learners' comments: 

Inquiry into my current teaching and self-reflection

Over the past few months, I have been looking at and analyzing current dispositions, experiences and outcomes of my students and the ways of how I can improve my own practice to address their needs and help them achieve better results in reading and writing by keeping them engaged and motivated.

By this time I have learned a lot about my learners, and it is now time to inquiry into my own teaching and analyze my strengths and areas for improvement. Firstly, I made a plan what areas of my literacy teaching I should observe and then analyze in order to grow as a professional; this included self-observation, student voice, reviewing my teacher tools and the activities that I've been using.

Many of my students identified that they need to learn more words and their meanings in order to understand texts better. I conducted a short teaching experiment by feeding forward the specific topic vocab during our dragon learn-create-share project and then giving them comprehension tasks that contained the taught vocabulary. All of my students from the target group completed the task and were proud of their results because they felt confident in using the new words and that made them feel successful in their learning.

I also identified that many students will not admit that they don't understand some words unless you ask them. I began to clarify the meaning of those words that I guessed my Y2/3 students might not fully comprehend and it showed me how many words (common from my point of view) they don't know. We also discussed the importance of understanding all words and what strategies and resources can we use to figure out unknown vocabulary.

Based on my literature review, I confirmed for myself that my hypothesis is similar to the following statement: 'nine out of 10 Year 2 students whose decoding was fluent, but whose reading comprehension was inadequate, had a low vocabulary level' (Wagner and Meros).

My next steps: 

extend, improve existing and implement new vocabulary teaching tools.

continue to use explicit instructions in inferential strategies 

Professional Reading #3: Teaching Children to Read

This review of the evidence-based scientific research literature helped me to think of my own teaching practice of reading and how can I improve it to achieve good progress for my students.

This review contains a lot of information about teaching at different levels including the early school years, and it resonates with another research that I shared in my last post. 

The researchers looked at different types of instructions and discussed their effectiveness in teaching vocabulary and comprehension strategies.

Analysing both of these research reports, I've identified my next steps and will focus on these areas when inquiring into my own teaching practice and reflecting on it in order to form my hypothesis and plan my intervention:

 - teaching vocabulary (activities, approaches, material)

 - selection of texts 

 - explicit teaching instructions 

 - reading comprehension strategies

Professional Reading #1: Closing in on Close Reading by Nancy Boyles

After I have finalised my teaching focus: vocabulary (H-F, word building and meaning), increasing their general knowledge and comprehensive strategies, I referred to research literature to find out the most effective strategies, approaches and tools.

I looked at the professional blogs of my COL colleagues and looked at the research literacy they recommended. I was interested in what approaches can help with the students' vocabulary and text understanding at the same time. 

Article: Closing in on Close Reading by Nancy Boyles

N. Boyles describes three things junior teachers can try to effectively use close reading: 

• use more short text;
• aim for independent reading by posing questions that go beyond the content of the text to look at the structure, craft, and integration of ideas throughout the work; 
• teaching students to observe details clearly in anything they read and analyze how those details work together

I have been using close activities in my teaching practice; however, I now look at them from a slightly different angle. I guess I see more purpose behind this exercise and also some ideas of how to run them more efficiently.

I've noticed there is a big emphasis on sentence structure along with the word choice and comprehension strategies. I'll take this on board and include into my group teaching practice.

Student Voice: Literacy Dispositions

In my last post, I discussed how an understanding of my students' learner identities is crucial for effective teaching and learning. During the lockdown, I collected evidence of how taking into account their learner identities (e.g. personal identities, cultural and social backgrounds, academic performance and learning preferences) helps improve motivation and enhance students' learning outcomes. This confirmed that my hunch about coherence in putting my students at the very centre of their learning and making their learning experiences authentic is crucial for their engagement and achievements and it makes a big difference in their learning outcomes.

As one of my inquiry next steps, I asked my students to complete a questionnaire about their literacy dispositions. It required my students to think critically about their own learning, self-evaluate and self-reflect. It was not very easy for my year 2 and 3 students. In the beginning, they said it was very hard and they were not sure. However, with my prompts, they started to talk about their learning in small groups sharing their ideas. It was very interesting to observe them making the first steps in thinking about their learning! After the small group discussions, I asked them to complete the questionnaire. Most of the year 3's students became very excited to express their thought and even asked if they could help younger learners with their forms. To keep the results and data truthful, all the students were asked to complete the survey independently. 

My preliminary findings showed:

• differences in students' personal interests (as expected)
• 53% students would prefer to create their own stories over recounts, reports and poems (was a surprise for me)
• girls like reading more than boys (as expected)
• the vast majority said that shared brainstorming helps them in writing (73%)
• 40% of students found that doing 'hands-on' activities help them understand topics better
• 53% use vocabulary displayed around the class to support their learning
• the vast majority identified that they need help with an understanding of unfamiliar words

Analyzing their answers and referring back to my own findings drawn from the formative and summative assessments, I finalised my teaching focus to accelerate my students in literacy: vocabulary (H-F, word building and meaning), increasing their general knowledge and comprehensive strategies. 

My next step is to make a hypothesis and do literature research to best advance my teaching practice and make an informed decision about tools and approaches that I need to implement in order to improve my students' achievements.

Profiling: understanding the nature of my students’ learning strengths and needs in detail

There is a complex of factors that influence student's learning. Getting to know your students is extremely both for their well-being and academic achievements. 
The more we understand our students, the more efficient we can ensure their learning successes. When we have an in-depth understanding of how our students learn, there is a major impact on diagnosing student needs and planning effective programmes and supports. 

I combined the data gathered during in-class learning in Term 1 and the formative data collected during distance learning ('Covid-19 data'). 

During the lockdown, I experienced a new opportunity to look inside our learners' lives and observe them learning from home, observe their learning styles, reveal their personal interests, motivation and key competencies. Interestingly, I enjoyed a very high level of engagement in comparison to similar junior classes in my school. I believe that one of the factors that contributed to this success was a love of learning and self-motivation of my learners that we have been developing together during in-class learning.  Another factor was the use of personalised tasks that helped to keep my students engaged and motivated. Effective learning takes place when the amount of task structure by the teacher matches a student's level of development. 

My 2020 inquiry is about raising student achievement in literacy by promoting deep learning that requires students to develop cognitive engagement and critical thinking across the curriculum. I decided not to change my inquiry focus. After the lockdown and distance teaching I witnessed and confirmed for myself that understanding of learner identities is not just important but crucial for effective teaching and learning. 

Pre-Covid data: 
I analyzed results of the beginning of Term 1 Running record in reading and e-asttle in writing and found that most of my Year 2 students are well below the expected levels both in reading and writing. My year 3 students are placed at different levels, however, all of them require to focus on reading comprehension, vocabulary and spelling. 

I looked closely at the RR and identified that while my Year 2's need to work on decoding and comprehension skills, my Year 3's students mostly require to focus on making inferences and improving their evaluation skills.
The e-asttle writing data and their independent writing exemplars also suggested focusing on ideas, vocabulary and spelling.
All of these findings helped me to identify and prioritize 3 main areas for developing my teaching intervention: general knowledge, vocabulary(meaning and wordbuilding) and spelling (phonics, H-F and word building).

Formative "Covid-19 data".
Formative data collected during distance learning also showed that my students have limited general knowledge of various topics. Based on various reports from Reading eggs, Sunshine classics, Kahoot topic games and completed tasks on Seesaw, I found that my students need to work on their inferential skills and vocabulary. Distance learning proved that taking into account their learner identities (e.g. personal identities, cultural and social backgrounds, academic performance and learning preferences) helps improve motivation and enhance students' learning outcomes.

My next steps:
- collecting student voice: their literacy dispositions, interests and self-evaluation in reading and writing.
- finding related literacy research
- making my hypothesis

Motivation and Cognitive Engagement in Learning Environments

Reading: Motivation and Cognitive Engagement in Learning Environments

Blumenfeld, P. C., Kempler, T. M., & Krajcik, J. S. (2006). Motivation and Cognitive Engagement in Learning Environments. In R. K. Sawyer (Ed.), The Cambridge handbook of: The learning sciences (pp. 475-488). New York, NY, US: Cambridge University

Press.https://www.researchgate.net/publication/232418824_Motivation_and_Cognitive_Engagement_in_Learning_Environments 

Synopsis

In this reading, the authors briefly review the literature on motivation and cognitive engagement and discuss how the key features of learning environments are likely to influence them. They indicate some challenges for students and for teachers, which may have negative effects on motivation and describe strategies for meeting these challenges.

Motivation

When we think of student engagement in learning activities, it is often convenient to understand engagement with an activity as being represented by good behaviour (i.e. behavioural engagement), positive feelings (i.e. emotional engagement), and, above all, student thinking (i.e. cognitive engagement) (Fredricks, 2014).

I'm constantly trying to target all three types of engagement. I clearly see that project-based learning fosters student motivation and, as a result, student engagement. Reflecting on my practice, I see a big shift in my understanding of how to motivate and get my students intellectually, emotionally and cognitively engaged. However, I believe that personal and professional learning never stops, so I like to read more about this aspect of pedagogy and implement successfully-proven practices in my classroom.

How will it help me? How has it helped me?

Interestingly, the authors identified the same challenges that I face and have to meet in my daily work. They talk about using students' interests and the importance of incorporating topics that students find interesting (dinosaurs, space, etc). The challenge for the teacher is to make sure that while students are working on these topics, they focus not only on seductive details but the new and essential learning is happening. My role as a teacher is to guide my students and create meaningful and purposeful learning experiences that have value and cater to my students' interests and their needs at the same time. Relatedness is another aspect that contributes to student engagement. Our school values of FIRE (Fun, Integrity< Respect and Excellence) are extremely important as they allow my students to feel safe and appreciated during their learning experiences. This promotes collaboration, which in turn results in a higher level of cognitive and emotional engagement. Another challenge for keeping students cognitively and intellectually engaged is a lack of skills and knowledge.

So What?

To overcome these challenges, I will continue to create a positive learning environment, use a cross-curricular approach and some of the ALL/ALiM strategies e.g:

• Plan for teaching/learning
• Frontload topic-related knowledge
• Ensure that the learning environment is safe for sharing ideas.
• Develop students' confidence to present their ideas, knowing that they will be listened to and valued.
• Have a shared understanding that mistakes are an important part of learning.
• Building up their topic-related vocabulary
• Support students to communicate their ideas. (Maths talk strategies e.g. revoicing, wait time, etc) 
• Use of technology to enhance their learning 
• Foster and maintain students' interests

Looking back at 2019 LCS projects

Description - 'Learn Create Share' student-centred project learning. 
In week 1, I chose to read the book "Chinese New Year" as it was the beginning of the Chinese NY celebration. I hoped that my learners would ask many questions about Chinese traditions and the Chinese calendar. To be honest, I didn't expect that our learning would flow like a mountain stream with many unexpected turns. Following their interests, we first learnt about dragons using multimedia texts. Then my students noticed that the dragons looked like some extinct dinosaurs and we had to investigate more to be able to compare and contrast these creatures. After that, we ended up talking about palaeontology (later on, this led us to explore birds, etc).

 

Significance
Cognitive engagement is defined as the extent to which students’ are willing and able to take on the learning task at hand. “When children come home talking excitedly about the latest issues they are grappling with in class, this shows that something important has kindled their desire to know more. When students want to bring resources from home that contribute to the class study, do extra at home for the sheer pleasure of it, offer to lead a group of peers, start contributing in unexpected ways, make suggestions to the class on how to improve something or want to stay in when the bell goes because what they are learning is just so absorbing, then we know that students are taking learning to heart. We know that they are curious and inspired.” (Connecting Curriculum, Linking Learning, 2013, by Barbara Whyte, Deborah Fraser and Viv Aitken)
That's exactly what was happening in my class! My learners, their parents and friends were all excited and engaged in our learning.

   

Learning
Reflecting on my teaching practice, I believe that this project was successful because I was teaching throughout the project—not teaching and then doing the project. Every aspect of learning was purposeful and meaningful to my learners. They wanted to read and write to be able to find out what was interesting to them. The learners decided to find out what dinosaur was the most popular - we conducted statistical investigations learning how to collect, sort out and display data. The students asked how long is 30 metres (the average length of an Argentinosaurus) and we went to measure an imaginary dinosaur on the court learning about non-standard and standard units. During this project, I used a cross-curricular approach and a range of deliberate acts of teaching in flexible and integrated ways that led to the success of our project and increased my learners' cognitive and intellectual engagement.